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Simplifying 1 + 7(x + -4) = 10 + -6(x + -1) Reorder the terms: 1 + 7(-4 + x) = 10 + -6(x + -1) 1 + (-4 * 7 + x * 7) = 10 + -6(x + -1) 1 + (-28 + 7x) = 10 + -6(x + -1) Combine like terms: 1 + -28 = -27 -27 + 7x = 10 + -6(x + -1) Reorder the terms: -27 + 7x = 10 + -6(-1 + x) -27 + 7x = 10 + (-1 * -6 + x * -6) -27 + 7x = 10 + (6 + -6x) Combine like terms: 10 + 6 = 16 -27 + 7x = 16 + -6x Solving -27 + 7x = 16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -27 + 7x + 6x = 16 + -6x + 6x Combine like terms: 7x + 6x = 13x -27 + 13x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -27 + 13x = 16 + 0 -27 + 13x = 16 Add '27' to each side of the equation. -27 + 27 + 13x = 16 + 27 Combine like terms: -27 + 27 = 0 0 + 13x = 16 + 27 13x = 16 + 27 Combine like terms: 16 + 27 = 43 13x = 43 Divide each side by '13'. x = 3.307692308 Simplifying x = 3.307692308
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